My only nitpicks were that he didn't seem to ask a lot of questions about the situation when he met other survivor guy. I'd be looking for details. The other weird thing was that there were no signs of the Internet or cell phones. Using the CB but not looking for a working cell phone or trying the Internet at the police station made it seem like this was set sometime in the past. Although they didn't seem to try regular radio or TV either.
I will chalk this up as failed attempts we simply did not see on the show. Even though no specific date has been established, this is definitely not the past. You can 'assume' this by the shot of the in-car police computer.
The specific model shown on AMC's TWD at least establishes the show occurs in a present day timeframe (within a couple years +/-) and that there is internet.
The internet and cell phones don't work that well when there's no power.